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- Eleonora Messina, Yoshiaki Muroya, Elvira Russo, Antonia Vecchio
- Appl. Math. Lett.
- 2010

- Eleonora Messina, Elvira Russo, Antonia Vecchio
- Mathematics and Computers in Simulation
- 2011

- Yoichi Enatsu, Eleonora Messina, Yoshiaki Muroya, Yukihiko Nakata, Elvira Russo, Antonia Vecchio
- Applied Mathematics and Computation
- 2012

We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. The model admits a unique endemic equilibrium if and only if the basic reproduction number R 0 exceeds one, while the trivial… (More)

- Giuseppe Izzo, Zdzislaw Jackiewicz, Eleonora Messina, Antonia Vecchio
- J. Computational Applied Mathematics
- 2010

We investigate the class of general linear methods of order p and stage order q = p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which are A-stable and have large regions of stability with respect to… (More)

- Eleonora Messina, Antonia Vecchio
- Mathematics and Computers in Simulation
- 2015

The semidiscretization in space of Volterra-Fredholm integral equations (arising, for example, as mathematical models of the spreading of epidemics) leads to large systems of Volterra integral equations. Here, we study inexpensive time-stepping methods using certain DQ (= direct quadrature) methods which are employed in a way that exploits the local… (More)

- M. Basile, Eleonora Messina, Woula Themistoclakis, Antonia Vecchio
- Computers & Mathematics with Applications
- 2012

- Eleonora Messina, Antonia Vecchio
- Appl. Math. Lett.
- 2016

- Eleonora Messina, Antonia Vecchio
- Numerical Algorithms
- 2016

Within the theoretical framework of the numerical stability analysis for the Volterra integral equations, we consider a new class of test problems and we study the long-time behavior of the numerical solution obtained by direct quadrature methods as a function of the stepsize. Furthermore, we analyze how the numerical solution responds to certain… (More)

- M. Basile, Eleonora Messina, Woula Themistoclakis, Antonia Vecchio
- Mathematics and Computers in Simulation
- 2015

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